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Finding the Fourth Proportional to 1,317.78, 1,977.02 and 393.34

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Solution

The fourth proportional to 1,317.78, 1,977.02 and 393.34 is: 590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.78 : 1,977.02 = 393.34 : x
  2. Step 2: Convert to fraction form
    1,317.78/1,977.02 = 393.34/x
  3. Step 3: Cross multiply
    1,317.78x = 1,977.02 × 393.34
  4. Step 4: Simplify right side
    1,317.78x = 777,641.05
  5. Step 5: Solve for x
    x = 777,641.05/1,317.78
  6. Step 6: Final answer
    x = 590.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.